The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y<=40-x and y<=x-20
Answers
Answer:
The value of x lies between 20 and 40 and value of y lies between -20 and 10
Step-by-step explanation:
We are given that
[tex]y\leq 40-x[/tex]....(1)
[tex]y\leq x-20[/tex]...(2)
First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.
Therefore, we can write as
[tex]y=-x+40[/tex]...(3)
[tex]y=x-20[/tex]...(4)
Adding equation (3) and (4) we get
[tex]2y=20[/tex]
[tex]y=10[/tex]
Substitute y=10 in equation (3) we get
[tex]10=40-x[/tex]
[tex]x=40-10=30[/tex]
(30,10) is the intersect point of two equation.
Put x=0 in equation (3)
[tex]y=40[/tex]
Substitute y=0 in equation (3)
[tex]x=40[/tex]
Substitute x=0 in equation (4)
[tex]y=-20[/tex]
Substitute y=0 in equation (4)
[tex]x=20[/tex]
Substitute x=0 and y=40 and in equation (1)
[tex]40\leq 40[/tex]
Hence, the equation is true.Therefore, the shaded region below the line.
Substitute x=0 and y=-20 in equation (2)
[tex]-20\leq -20[/tex]
The equation is true. Hence, the shaded region is below the line.
Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.
Answer: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 20.
Step-by-step explanation:
Related Questions
6.4n-10=4.4n+6 solve for n
Answers
Answer: n=8
Step-by-step explanation:
1. Subtract 4.4n on both sides:
2n-10=6
2. Add 10 on both sides:
2n=16
3. Divide both sides by 2:
n=8
Have a nice day :D
I need help on this question!! 15% of 9% is $___
Answers
Answer:
$1.35
Step-by-step explanation:
Answer:
0.0135
Step-by-step explanation:
Convert 15% to a decimal.
0.15 ⋅ 9%
Convert 9% to a decimal.
0.15 ⋅ 0.09
Multiply 0.15 by 0.09.
0.0135
for a field trip a bus company charges a flat fee plus an additional fee per student. for 25 students, the total cost is $200, if there are 30 students, the total cost is $230. write an equation in point slope form,where y repersents a cost for any given number of x students
Answers
Answer: The answer is 8
Step-by-step explanation: 8 x 25 =200
three-fifth of the men in chemistry class have beards and two-third of the women have long hair.if there are 120 men in the class and 46 are not in the above groups, how many men and how many women are there in the class
Answers
Answer:
30
Step-by-step explanation:
What is .09375 as a fraction
Answers
Answer:
.09375 as a fraction is [tex]\frac{3}{32}[/tex]
0.09375 as a fraction in its lowest form is 3/32.
To convert the decimal number 0.09375 into a fraction, we can express it as the numerator over the appropriate power of 10 in the denominator.
The decimal number 0.09375 can be written as 9375/100000.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).
In this case, the GCD of 9375 and 100000 is 3125,
So, we can divide both numbers by 3125:
= 9375 ÷ 3125 / 100000 ÷ 3125
= 3/32
Therefore, 0.09375 as a fraction in its lowest form is 3/32.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ6
{(2,5), (-3, 4), (-4,-4), (x,-5)}
What value of x will make the relation a function?
-3
-4
5
2
Answers
Answer:5
Step-by-step explanation:
because idrk my teacher just answered this question and i thought i would share :)
1. Evaluate
2
for x = 1
2
and y = 3
2. Nick is renting a car while his car is in the shop being repaired. His budget for the rental is at most
$120. If the cost to rent the car is $25 plus $.75 per mile how many mile can he drive it? Write and
solve an inequality
Answers
Answer:
Step-by-step explanation:
The slope of line TV is 3/5. What is the slope of any line perpendicular to TV?
options:
5/3
−3/5
3/5
−5/3
Answers
It is an EMERGENCY I NEED HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!
Answers
Question :
The sales tax rate in New Mexico is 5.125%. Select all the equations that represent the sales tax, t, you
would pay in New Mexico for an item of cost c?
A. t = 5.125c
B. t = 0.5125c
C. t = 0.05125c
D. t = c = 0.05125
(E. t = 5.025 c
Answer:
C. t = 0.05125c
Step-by-step explanation:
First we have to understand the meaning of % sign. It is called percent or percentage. Where cent means 100. Now all we know that 100 cents make one dollar, that is why these 100 smaller units are called as cents.
Now if sales tax is 5.125 percent, remember that if there is $100 capital amount, it will be $5.125 tax.
Now how much would it be for $1?
simply, it will be $0.05125
Now for equation in option C
t = 0.05125 x 1
t = 0.05125
here you can see that the equation is satisfied.
So from this we can establish the equation that for any cost, the relation between tax and cost will be:
t = 0.05125c
94. Juan is practicing archery using a simple circular target with a radius of 18 inches. The target's a bullseye has a circumference of 18pi inches. What is the area of the portion of the target that is not part of the bullseye?
Answers
Answer: 763.02 in^2
Step-by-step explanation:
For a circle of radius R, we know that:
The area is:
A = pi*R^2
the circumference is:
C = 2*pi*R
where pi = 3.14
We know that the circumference of the bullseye is 18*pi, then the radius of this circle is:
2*pi*R = 18*pi
2*R = 18
R = 18/2 = 9
The radius of the bullseye is 9 inches.
Now, the area of the target that is not part of the bullseye is equal to the difference between the area of a circle of radius 18in (the total target area) and a circle of radius 9in (the bullseye area)
This is:
A = pi*(18in)^2 - pi*(9in)^2 = 3.14*( (18in)^2 - (9in)^2) = 763.02 in^2
What shortcut could you use to prove the triangles congruent?
O HL
O SAS
O ASA
SSS
OSSA
CNBD
O AAS
Answers
Answer:
AAS
Step-by-step explanation:
You can see that two angles and one side are congruent.
The question and possible answer are in the picture thank you!
Answers
Answer:
pretty sure its the first one
Step-by-step explanation:
Explanation:
8 ounce 17.98 per pounds
Answers
Answer:
8 ounces, which is 0.5 pounds
Step-by-step explanation:
mark me brainlest if im correct
What is the recursive formula of the arithmetic sequence 0,11,22,33,
Answers
Answer:
f(1)=0
f(x+1)=f(x)+11
Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?
Answers
Answer:
Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?
Step-by-step explanation:
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?
Answer:
The integer is a positive 4 for golf. Under par should be negative 4.
Step-by-step explanation:
Can somebody help me on this thanks
Answers
Answer:
Add 3/4 to both sides (the last option)
Step-by-step explanation:
Since you want to isolate f and the expression on one side is f - 3/4, you have to add 3/4 so that the -3/4 cancels out. When you do that, you also have to add 3/4 to the other side so that the equation stays balanced.
Simplify x/4 + x/6 help please
Answers
Answer:
5/12x
Step-by-step explanation:
A chess club with 95 members is electing a new president. Tony received 57 votes. What percentage of the club members voted for Tony?
Answers
Answer:
40%
Step-by-step explanation:
Tony received a total of 57 votes. There are 95 members. 95 is 100%, 47.5 is 50%. From this we have go on and play with percentage number. Since I don't remember the exact rule or explanation rn. Hope this helped :)
Answer:
60%
Step-by-step explanation:
95x0.6=57
Percentage=60%
WEEEEEEEEEEEEEEEEEEEEEEE
PLEASE HELP
Answers
answer: 5b
the exponents basically cancel themselves out. :)
Please help! I will mark brianliest!!
Answers
Answer:
Perimeter: 310 units
Step-by-step explanation:
If x=4 and y=5, then the measure of the lengths would be..
8y+19= 8(5)+19= 59
8x+64= 8(4)+64= 96
13y-6= 13(5)-6= 59
16x+32= 16(4)+32= 96
To check if all these measurements are congruent, we can see if they match up with the measure of their parallel line, which they do in this case because 59=59
96=96
To find the perimeter of any shape, we add all the side lengths together
59+59+96+96= 310
Hope I was able to help! Good Luck!
Answer:
Perimeter is 310 unis
Please help with this! Show how you got it!!! Will mark brainliest!!
Answers
Answer:
sum of interior angles of octagon is 1080 degrees
From figure ,
136 + 132 + 129 + 116 + 158 + 141 + 124 + x = 1080
so, x = 1080 - 936
= 144
Step-by-step explanation: Simply add the angles and substract the sum from 1080 which is the sum of interior angles of octagon
Answer:
144 degrees.
Step-by-step explanation:
There are 8 sides to this polygon so the total internal of
angles = 180( 8 - 2)
= 1080
Adding up the 7 given angle we get 936
So x = 1080 - 936
= 144.
f(x) = x2 + 8, g(x) = 5x - 2.
Answers
Answer:
Step-by-step explanation:z
a person can pay 14$ for a membership to the science museum and then go to the mesum for just 1$ per visit what is the maxium number of visits a member of the science museum can make for the total cost of 43$
Answers
Answer:
I think 43 visits
Step-by-step explanation:
I hope this helps you and I hope this is right and have a wonderful day:)
Hello! I won't give you the answer but I'll show you an example to a similar question like that!
Okay, so what if: a person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. what is the maximum number of the art museum can make for a total cost of $18?
An easy way to solve this is to make an equation.
Let's call the number of times we can visit "x".
So, we pay $6 off the bat, and then pay $1 per visit after.
6+1x
That's the cost associated with visiting "x" number of times, now, we need to know how many times we can visit for 18, so we equate the expression to 18.
6+x=18
x=12
We can visit 12 times.
I hope this helps and that now you know the problem is supposed to be solved!
See ya later, pal!
Which ratio is equivalent to 8/6?
A. 3/24
B. 24/32
C. 32/24
D. 24/3
Answers
Answer:
C.
Step-by-step explanation:
Answer:
Answer: C. 32/24
Step-by-step explanation:
8 x 4 and 6 x 4
Graph the system of linear inequalities.
y > 3x + 2
y ≤ 3x − 4
Answers
[tex]y > 3 \times 2 \\ solve \: for \: y \\ y > 6 \\ ye \: {6 + \infty }[/tex]
Sorry that's all i know
that is in my answer#carryonlearning:-DWhich gives the prices in order, from least to greatest
Answers
Answer:
is there a picture to go with the problem?
The two triangles below are similar. Find
the area of the larger triangle.
Answers
Answer:
64 sq in
Step-by-step explanation:
set up a proportion:
12 = 6
16 x
cross-multiply:
12x = 96
x = 8
A = b·h/2
A = 16 x 4
A = 64
Here is a rectangle ABCD.
А
B- length 20 cm
D
С-width 30 cm
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
Answers
Answer:
(b)-length 20 cm
at this rate how much would 6 eggs rolls cost
Answers
Answer:1.95
Step-by-step explanation:
guys please help this is a math question
Answers
Answer:
81.5
Step-by-step explanation:
<G and <H are congruent
<F and <I are congruent
so the last two angles in both triangles must also be congruent
this means that <K and <J are congruent
so we can create this equation: <K = <J
substitute the angles with what we know: 4[tex]y^{2}[/tex] = 6[tex]y^{2}[/tex] - 40
add 40 to both sides and subtract 4[tex]y^{2}[/tex] from both sides: 40 = 2[tex]y^{2}[/tex]
you get: 20 = [tex]y^{2}[/tex]
root square on both sides: [tex]\sqrt{20}[/tex] = [tex]\sqrt{y^{2} }[/tex]
you get: y ≈ 4.5
substitute this into one of the equations for a missing variable:
6[tex]y^{2}[/tex] -----> 6 (4.5 x 4.5) - 40
6 ( 20.25) - 40
121.5 - 40
81.5